Given numbers are 730,467,284,257,762

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 730,467,284,257,762 is 4740085594740.

Find LCM of 730,467,284,257,762 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 365 x 467 x 142 x 257 x 381 = 4740085594740

Therefore, the lowest common multiple of 730,467,284,257,762 is 4740085594740.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

730 x 467 x 284 x 257 x 762 = 18960342378960

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

730 : 1, 2, 5, 10, 73, 146, 365, 730

467 : 1, 467

284 : 1, 2, 4, 71, 142, 284

257 : 1, 257

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,467,284,257,762, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

467:467

284:2x 2x 71

257:257

762:2x 3x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 18960342378960/(1x4)

LCM = 18960342378960/4

LCM = 4740085594740

Thus, we can understand that the LCM of 730,467,284,257,762 is 4740085594740.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 658, 554, 103, 116, 954
• LCM of 856, 513, 275, 671, 350
• LCM of 419, 973, 388, 530, 573
• LCM of 620, 698, 582, 856, 120
• LCM of 708, 144, 293, 939, 315

1. What is the LCM of 730, 467, 284, 257, 762?

Answer: LCM of 730, 467, 284, 257, 762 is 4740085594740.

2. How to calculate the LCM of 730, 467, 284, 257, 762?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 730, 467, 284, 257, 762.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.